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Verified Answer :

\(2 x^{2} -9x+10=2 x^{2} -4x-5x+10=2x(x-2)-5(x-2)= \\ =(x-2)(2x-5).\)

Find both roots :
\(\Delta=81-80=1\) hence \(r=\frac{9\pm1}4=\frac{5}2\text{ or }2\)

Thus it is \(2(x-\frac{5}2)(x-2)\)